Mini-Lecture 1.6: Subtracting Real Numbers - Edubirdie

University:
Montgomery College
Course:
MATH 130: Elements of Mathematics I: Mathematical Reasoning and Number Systems
Academic year:

2023
Views:

219

Pages:

1
Author:

Nehemiah Rojas

Mini-Lecture 1.6 Subtracting Real Numbers Learning Objectives: 1. 2. 3. 4. Subtract real numbers. Add and subtract real numbers. Evaluate algebraic expressions using real numbers Solve problems that involve subtraction of real numbers. Examples: 1. Subtract. a) -8 – 4 b) 11 – 18 c) -15 – (-10) d) -12 – 12 e) 22 – (-13) f) -132 – (-207) g) 1.3 – (3.8) h) 2. Simplify each expression. a) -3 – (-4) – 5 +(-2) b) 7 – 10 – 8 + (-7) 15 ⎛ 9 ⎞ − − 7 ⎜⎝ 14 ⎟⎠ c) −2 + −3 − 5 − 32 3. Evaluate each expression when x = -3, y = -7, and z = 9 a) x – y b) 10 − x y−2 c) x + y − z d) x2 – y 4. Solve: a) In a game of cards, Alicia won 11 chips, lost 6 chips, won 3 chips, lost 14 chips, and won 1 chip. What was her final count of chips? Find the complementary or supplementary angle. b) c) x° 42° x° 53° Teaching Notes: • • • • Remind students to always change subtraction to addition and “add the opposite”. Some students forget to change the sign of the second value after changing to addition. Encourage students to take the time to write the steps: 3 – (-2) = 3 + (+2) = 5 Each section in the text has 3 worksheets in the Extra Practice featuring differentiated learning. Answers: 1a) -12; 1b) -7; 1c) -5; 1d) -24; 1e) 35; 1f) 75; 1g) -2.5; 1h) 39/14; 2a) -6, 2b) -18, 2c) -3; 3a) 4; 3b) -13/9; 3c) 1; 3d) 16; 4a) -5; 4b) 138° ; 4c) 37°

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